What method can I use to analytically solve the following 2nd order PDE?(adsbygoogle = window.adsbygoogle || []).push({});

u=u(x,t)

∂u/∂t - a*x*∂u/∂x-D*∂^{2}u/∂t^{2} = 0

I.C.: u(x,t=0)=u_i

B.C.: u(x=+∞)=0

u(x=-∞)=1

Is self-similar the only way to solve it, or is there any other method can be used to solve it?

How to set the similarity variable if I use self-similar method?

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Help: analytical of 2nd order PDE

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**